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Finding the Fourth Proportional to 76,751.75, 105,920.70 and 42,760.23

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Solution

The fourth proportional to 76,751.75, 105,920.70 and 42,760.23 is: 59,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.75 : 105,920.70 = 42,760.23 : x
  2. Step 2: Convert to fraction form
    76,751.75/105,920.70 = 42,760.23/x
  3. Step 3: Cross multiply
    76,751.75x = 105,920.70 × 42,760.23
  4. Step 4: Simplify right side
    76,751.75x = 4,529,192,936.21
  5. Step 5: Solve for x
    x = 4,529,192,936.21/76,751.75
  6. Step 6: Final answer
    x = 59,010.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.